A ball is thrown straight up from the ground with speed v0. At the same instant, a second ball is dropped from rest from a height H, directly above the point where the first ball was thrown upward. There is no air resistance. Find the time at which the two balls collide. Find the value of H in terms of vo and g so that at the instant when the balls collide, the first ball is at the highest point of its motion.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter2: Motion In One Dimension
Section: Chapter Questions
Problem 48P: A commuter train travels between two downtown stations. Because the stations are only 1.00 km apart,...
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  1. A ball is thrown straight up from the ground with speed v0. At the same instant, a second ball is dropped from rest from a height H, directly above the point where the first ball was thrown upward. There is no air resistance.
    1. Find the time at which the two balls collide.
    2. Find the value of H in terms of vo and g so that at the instant when the balls collide, the first ball is at the highest point of its motion.
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